Theorem dfom3 4719

Description: Alias for df-iom 4718. Use it instead of df-iom 4718 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4718	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 104   = wceq 1398   e. wcel 2205   {cab 2220   A.wral 2522   (/)c0 3512   |^|cint 3954   suc csuc 4491   omcom 4717

This theorem depends on definitions:  df-iom 4718

This theorem is referenced by:  omex  4720  peano1  4721  peano2  4722  peano5  4725  bj-dfom  16829